A 27 - foot ladder is leaning against the wall. If the top of the ladder touches 22.5 feet up the wall, what is the angle evaluation of the ladder

Answer:

i got this i hope this is helpfulI'm sry I can't read and ans

Step-by-step explanation:

Electronic entry of medication orders through CPOE may reduce errors from poor handwriting or incorrect transcription. CPOE systems often include functionalities such as drug dosage support, alerts about harmful interactions, and clinical decision support, which may further reduce errors.

Answer:

Step-by-step explanation:

THE ANSWER TO YOUR QUESTION IS C.

Answer:

-5a-4

Step-by-step explanation:

7a-8-12a+4

7a-12a-8+4

=-5a-4

Answer:

\(x=10\)

Step-by-step explanation:

We can use the Pythagorean Theorem:

\(a^2+b^2=c^2\)

The two legs are x and (x + 14) and the hypotenuse is (x + 16). Therefore:

\((x)^2+(x+14)^2=(x+16)^2\)

Expand:

\(\displaystyle x^2+(x^2+28x+196)=x^2+32x+256\)

Combine like terms:

\(2x^2+28x+196=x^2+32x+256\)

Subtract the right from the left:

\((2x^2+28x+196)-(x^2+32x+256)=0\)

Subtract:

\(x^2-4x-60=0\)

Factor:

\((x-10)(x+4)=0\)

Zero Product Property:

\(x-10=0\text{ or } x+4=0\)

Solve:

\(\displaystyle x = 10 \text{ or } x = -4\)

The x cannot be negative since a side cannot measure -4. So, our only answer is:

\(x=10\)

So, the legs are 10 and 24 with the hypotenuse being 26.

The simultaneous equations 2x + y = 6 and x + y/2 = 3 are dependent because both equations are the same and they have an infinite number of solutions that satisfy both equations.

A system of simultaneous equations is called dependent if it has infinitely many solutions. In other words, one equation in the system can be obtained by adding or subtracting multiples of the other equation(s), or if all the equations represent the same line or plane in higher dimension.

We can write the equations as:

2x + y = 6...(1)

x + y/2 = 3...(2)

equation (2) can be rewritten as follows:

(2x + y)/2 = 3 {simplifying the left hand side to a single denominator}

2x + y = 2 × 3 {cross multiplication}

2x + y = 6

We can observe that equations (1) and (2) are the same. Any value of x and y that satisfies the equation 2x + y = 6 will also satisfy the second equation, x + y/2 = 3.

In conclusion, the simultaneous equations 2x + y = 6 and x + y/2 = 3 are dependent because both equations are the same, hence they have an infinite number of solutions that satisfy both equations.

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The missing number to complete the linear equation is 89 and the equation that gives the rule for this table is; y = x + 89

The equation of a line in slope intercept form is expressed as;

y = mx + c

where;

m is slope

c is y-intercept which is the point at which x = 0

From the table given, we see the coordinates as;

(1, 90), (2, 91), (3, 92), (4, 93)

Thus, we can easily say that the coordinate that precedes (1, 90) must be (0, 89)

Thus, the y-intercept is 89 and since the slope is 1, the equation of the line is; y = x + 89

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Rounding to the nearest liter, the volume of the liquid in the pipe is approximately 0.01 liters. Therefore, none of the options A, B, C, or D provided is the correct answer.

To calculate the volume of the liquid in the cylindrical steel pipe, we need to find the difference in volume between the solid cylinder (hollow part) and the hollow cylinder.

Given:

Length of the cylindrical steel pipe (hollow part) = 21 cm

Radius of the solid cylinder = 0.4 cm

Radius of the hollow cylinder = 0.1 cm

First, let's calculate the volume of the solid cylinder (hollow part):

V1 = π × \(r1^2\) × h

V1 = π × \((0.4 cm)^2\) × 21 cm

Next, let's calculate the volume of the hollow cylinder:

V2 = π × \(r2^2\) × h

V2 = π × \((0.1 cm)^2\) × 21 cm

Now, we can find the volume of the liquid in the pipe by subtracting V2 from V1:

Volume of liquid = V1 - V2

Let's calculate these values:

V1 = π ×\((0.4 cm)^2\) × 21 cm ≈ 10.572 cm³

V2 = π × \((0.1 cm)^2\) × 21 cm ≈ 0.693 cm³

Volume of liquid = V1 - V2 ≈ 10.572 cm³ - 0.693 cm³ ≈ 9.879 cm³

To convert the volume from cubic centimeters (cm³) to liters (L), we divide by 1000:

Volume of liquid in liters ≈ 9.879 cm³ / 1000 ≈ 0.009879 L

Rounding to the nearest liter, the volume of the liquid in the pipe is approximately 0.01 liters.

Therefore, none of the options A, B, C, or D provided is the correct answer.

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Answer:

-8.66666666666666666666666666666666666

-9

Step-by-step explanation:

Answer:

y = - \(\frac{2}{3}\) x - 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

given

2x + 3y = 3 ( subtract 2x from both sides )

3y = - 2x + 3 ( divide through by 3 )

y = - \(\frac{2}{3}\) x + 1 ← in slope- intercept form

with slope m = - \(\frac{2}{3}\)

• Parallel lines have equal slopes , then

y = - \(\frac{2}{3}\) x + b  ← is the partial equation

to find b substitute (3, - 4 ) into the partial equation

- 4 = - 2 + b ⇒ b = - 4 + 2 = - 2

y = - \(\frac{2}{3}\) x - 2 ← equation of parallel line

The monthly cell phone bill when shared data equals zero is given as follows:

$26.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

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Answer:

Step-by-step explanation:

This number line says that  we can take all values of x that are less than or equal to 2. That is, the solution is

                                  \(x\leq 2\)

NOTE: if the circle at 2 were not filled in then that would mean x<2 (2 would not be an accepted value of x)

The missing numbers are a = 25 and b = 92.

Let's start by finding the mean of the given numbers. The mean is calculated by summing all the numbers and dividing the sum by the total count. In this case, we have:

(a + 31 + 42 + 65 + b) / 5 = 51

Now, we can simplify the equation:

a + 31 + 42 + 65 + b = 51 x 5

a + 138 + b = 255

Next, we know that the greatest number is 67 more than the least number:

b = a + 67

Now we can substitute this value into the previous equation:

a + 138 + (a + 67) = 255

Combining like terms:

2a + 205 = 255

Subtracting 205 from both sides:

2a = 50

Dividing both sides by 2:

a = 25

Substituting this value back into the equation b = a + 67:

b = 25 + 67

b = 92

Therefore, the missing numbers are a = 25 and b = 92.

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Answer:

B = 0.95m + 29.95

Step-by-step explanation:

this is really y = mx + b

m is a rate, 0.95 per mile

b is the y-intercept, or the price you pay no matter what, 29.95

The surface area of the box increases by 27.4 cm² when the height is increased by 0.2 cm.

To find the increase in surface area, we first need to calculate the initial surface area of the box and then calculate the surface area after increasing the height.

The formula for the surface area of a rectangular prism is given by:

Surface Area = 2*(length width + length height + width*height)

Initial Surface Area:

Length (L) = 13 cm

Width (W) = 8.7 cm

Height (H) = 28 cm

Initial Surface Area = 2*(138.7 + 1328 + 8.7*28)

Next, we calculate the new surface area after increasing the height by 0.2 cm. The new height is:

New Height = Initial Height + Increase in Height = 28 cm + 0.2 cm

New Surface Area = 2*(138.7 + 13(28+0.2) + 8.7*(28+0.2))

To find the increase in surface area, we subtract the initial surface area from the new surface area:

Increase in Surface Area = New Surface Area - Initial Surface Area

Let's calculate the values:

Initial Surface Area = 2*(138.7 + 1328 + 8.728) = 2(113.1 + 364 + 243.6) = 2*(720.7) = 1441.4 cm²

New Surface Area = 2*(138.7 + 13(28+0.2) + 8.7*(28+0.2)) = 2*(113.1 + 377.2 + 244.1) = 2*(734.4) = 1468.8 cm²

Increase in Surface Area = New Surface Area - Initial Surface Area = 1468.8 cm² - 1441.4 cm² = 27.4 cm²

Therefore, the surface area of the box increases by 27.4 cm² when the height is increased by 0.2 cm.

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Using concepts of circles, it is found that the angle measure of each slice is of 72º.

--------------------------------------------

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5 equal slices, thus:

\(\frac{360}{5} = 72\)

The angle measure of each slice is of 72º.

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y - x = 1.

or, y= 1+x

y - 2x = 3.

=>1+x -2x= 3 (substituting the value of y)

=>-x= 2

=>x= -2

y = -2+1 = -1

Therefore, x = -2 and y = -1

Answer:

y=2x

Step-by-step explanation:

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Ok first to solve you have to find m by using point slope form:

y^2-y1=m(x)x^2-x^1

2-2=0

5-1=4

Answer: 111 + 222 = 333

Answer:

125.25

Step-by-step explanation:

5 cube =125

1/2=0.5

0.5 squared =0.25

125+0.25=125.25

Answer:

D

Step-by-step explanation:

if you look at the height it is on y intercept 6

The 99 percent confidence interval for the true mean length of the bolt is CI = (2.8712, 3.1288)

Confidence Interval is used to tell us the degree of certainty or uncertainty that is existent in a sampling method.

The general formula for confidence interval is;

CI = x' ± z(s/√n)

where;

x' is sample mean

z is z-score at confidence level

s is sample standard deviation

n is sample size

We are given;

sample size; n = 36

Sample mean; x' = 3 inches

standard deviation; s = 0.3 inches

confidence level = 99%

z at 99% CL = 2.576

Thus;

CI = 3 ± 2.576(0.3/√36)

CI = 3 ± 0.1288

CI = (2.8712, 3.1288)

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Answer:

The answer is 56°. Angle B is an exterior angle of triangle ABC, which means it is equal to the sum of the two remote interior angles (angles A and C). Angle A is 35°, angle C is 121°, so angle B is 56°.

Answer:

c 57

Step-by-step explanation:

There were 42 Republicans and 58 Democrats in the Senate after the election.

Let's denote the number of Republicans in the Senate as "R" and the number of Democrats as "D."

According to the given information, there were 16 more Democrats than Republicans.

Based on this, we can set up the following equation:

D = R + 16

Since the total number of members in the Senate is 100, we can also write:

D + R = 100

Now we can substitute the value of D from the first equation into the second equation:

(R + 16) + R = 100

Combining like terms, we get:

2R + 16 = 100

Next, we isolate R by subtracting 16 from both sides:

2R = 100 - 16

2R = 84

Dividing both sides by 2:

R = 42

Now that we have the value of R, we can substitute it back into either of the original equations.

Let's use the first equation:

D = R + 16

D = 42 + 16

D = 58.

Therefore, there were 42 Republicans and 58 Democrats in the Senate after the election.

In conclusion, there were 42 Republicans and 58 Democrats in the U.S. Senate after the election, with no other parties represented.

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